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the value of 3cosA+4sinA lie between a)-7&7 b)-25&25 c)-5&5

the value of 3cosA+4sinA lie between
a)-7&7
b)-25&25
c)-5&5

Grade:11

1 Answers

Rohan Kadkol
22 Points
5 years ago
Any such question has the formula of min as -root(a^2+b^2) and max as root(a^2+b^2). Where a,b are found by comparing asinx+bcosx
 
Proof of this is by multiplying and dividing by root(a^2+b^2)
 
Then make it as sinxcosa+cosxsina where a is the other angle.
 
For trignometry a trig (bx+c) +d is the general form where a is amplitude. In this case if you convery to this form then a=root(a^2+b^2) thus max and min is root(a^2+b^2) and -root(a^2+b^2)
 

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